(4^2/5)*(4^-3/5)+(2^2/5^2) eching

$$( \frac{ { 4 }^{ 2 } }{ 5 } ) \times ( \frac{ { 4 }^{ -3 } }{ 5 } )+( \frac{ { 2 }^{ 2 } }{ { 5 }^{ 2 } } )$$

Baholash

$$\frac{17}{100}=0,17$$

Yechim qadamlari

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{16}{5}\times \frac{4^{-3}}{5}+\frac{2^{2}}{5^{2}}$$

-3 daraja ko‘rsatkichini 4 ga hisoblang va \frac{1}{64} ni qiymatni oling.

$$\frac{16}{5}\times \frac{\frac{1}{64}}{5}+\frac{2^{2}}{5^{2}}$$

\frac{\frac{1}{64}}{5} ni yagona kasrga aylantiring.

$$\frac{16}{5}\times \frac{1}{64\times 5}+\frac{2^{2}}{5^{2}}$$

320 hosil qilish uchun 64 va 5 ni ko'paytirish.

$$\frac{16}{5}\times \frac{1}{320}+\frac{2^{2}}{5^{2}}$$

\frac{1}{100} hosil qilish uchun \frac{16}{5} va \frac{1}{320} ni ko'paytirish.

$$\frac{1}{100}+\frac{2^{2}}{5^{2}}$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{1}{100}+\frac{4}{5^{2}}$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$\frac{1}{100}+\frac{4}{25}$$

\frac{17}{100} olish uchun \frac{1}{100} va \frac{4}{25}'ni qo'shing.

$$\frac{17}{100}$$

Omil

$$\frac{17}{2 ^ {2} \cdot 5 ^ {2}} = 0,17$$